Numerical Solution of Altarelli-Parisi Equations

Details Numerical Solution of Altarelli-Parisi Equations Numerical Solution of Altarelli-Parisi Equations

1994-12-21

arxiv.org/abs/hep-ph/9412341v1

Prog.Theor.Phys.Suppl.120:257-262,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, Latex, Figs.1-6 are not included, talk given at a YITP workshop, Kyoto, Japan, Oct.30 - Nov.1, 1994, Complete ps file

Scientific paper

10.1143/PTPS.120.257

We discuss numerical solution of Altarelli-Parisi equations in a Laguerre-polynomial method and in a brute-force method. In the Laguerre method, we get good accuracy by taking about twenty Laguerre polynomials in the flavor-nonsinglet case. Excellent evolution results are obtained in the singlet case by taking only ten Laguerre polynomials. The accuracy becomes slightly worse in the small and large $x$ regions, especially in the nonsinglet case. These problems could be implemented by using the brute-force method; however, running CPU time could be significantly longer than the one in the Laguerre method.

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